Mathematics

Factorise :

3x7y - 81x4y4

Factorisation

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Answer

Given,

   3x7y - 81x4y4

= 3x4y[x3 - 27y3]

= 3x4y[(x)3 - (3y)3]

= 3x4y(x - 3y)[(x)2 + x × 3y + (3y)2]

= 3x4y(x - 3y)(x2 + 3xy + 9y2).

Hence, 3x7y - 81x4y4 = 3x4y(x - 3y)(x2 + 3xy + 9y2).

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